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SUMMARY:Lev Birbrair (Universidade Federal do Ceará\, Brazil)
DTSTART:20201209T121000Z
DTEND:20201209T133000Z
DTSTAMP:20260423T022743Z
UID:GDS/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/18/">Lip
 schitz geometry of surface germs in $\\R^4$: metric knots</a>\nby Lev Birb
 rair (Universidade Federal do Ceará\, Brazil) as part of Geometry and Dyn
 amics seminar\n\n\nAbstract\nA link at the origin of an isolated singulari
 ty of a two-dimensional \nsemialgebraic surface in $\\R^4$ is a topologica
 l knot (or link) in $S^3$. \nWe study the connection between the ambient L
 ipschitz geometry of \nsemialgebraic surface germs in $\\R^4$ and the knot
  theory. Namely\, for \nany knot $K$\, we construct a surface $X_K$ in $\\
 R^4$ such that: $X_K$ \nhas a trivial knot at the origin\; the germs $X_K$
  are outer bi-Lipschitz \nequivalent for all $K$\; two germs $X_{K}$ and $
 X_{K'}$ are ambient \nbi-Lipschitz equivalent only if the knots $K$ and $K
 '$ are isotopic.\n
LOCATION:https://researchseminars.org/talk/GDS/18/
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